SMOOTHING OF SEMISTABLE FANO VARIETIES

Shentu, Junchao

doi:https://doi.org/10.18910/76676

SMOOTHING OF SEMISTABLE FANO VARIETIES

Shentu, Junchao

Osaka Journal of Mathematics, 2020, 57(3), 617-645

アクセス数:98件（2025-07-01 19:41 集計）

固定URL: https://doi.org/10.18910/76676

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タイトル	SMOOTHING OF SEMISTABLE FANO VARIETIES
著者	著者名 Shentu, Junchao
抄録	In this paper we study the smoothing of a semistable Fano variety over a perfect field k. In characteristic 0, the reduced semistable Fano degenerate fibers of Mori fibrations are classified. In positive characteristic, under a suitable W₂ lifting assumption, we prove that a semistable Fano variety always appears as a degenerate fiber in a semistable family if it has a global log structure (in the sense of Fontaine-Illusie-Kato) of semistable type. A geometric criterion for the existence of a log structure of semistable type is given.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(3)
ページ	617-645
刊行年月	2020-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/76676
DOI	https://doi.org/10.18910/76676
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 3 （2020-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2020, 57(3), p. 617-645
DC.title	SMOOTHING OF SEMISTABLE FANO VARIETIES
DC.creator	Shentu, Junchao
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-07
DCTERMS.abstract	In this paper we study the smoothing of a semistable Fano variety over a perfect field k. In characteristic 0, the reduced semistable Fano degenerate fibers of Mori fibrations are classified. In positive characteristic, under a suitable W₂ lifting assumption, we prove that a semistable Fano variety always appears as a degenerate fiber in a semistable family if it has a global log structure (in the sense of Fontaine-Illusie-Kato) of semistable type. A geometric criterion for the existence of a log structure of semistable type is given.
DC.identifier	10.18910/76676
DC.format	76676
citation_title	SMOOTHING OF SEMISTABLE FANO VARIETIES
citation_author	Shentu, Junchao
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	3
citation_firstpage	617
citation_lastpage	645
citation_public_url	https://hdl.handle.net/11094/76676
citation_doi_detail	10.18910/76676
citation_doi	https://doi.org/10.18910/76676

SMOOTHING OF SEMISTABLE FANO VARIETIES

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